426960 has 60 divisors (see below), whose sum is σ = 1436292. Its totient is φ = 113664.

The previous prime is 426941. The next prime is 426971. The reversal of 426960 is 69624.

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 219024 = 456^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

426960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 424 + ... + 1016.

2⁴²⁶⁹⁶⁰ is an apocalyptic number.

426960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718146).

426960 is an abundant number, since it is smaller than the sum of its proper divisors (1009332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

426960 is a wasteful number, since it uses less digits than its factorization.

426960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 426960 is about 653.4217627230. The cubic root of 426960 is about 75.3001306855.

The spelling of 426960 in words is "four hundred twenty-six thousand, nine hundred sixty".